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Finding the Fourth Proportional to 3,964.80, 5,471.76 and 2,196.96

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Solution

The fourth proportional to 3,964.80, 5,471.76 and 2,196.96 is: 3,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.80 : 5,471.76 = 2,196.96 : x
  2. Step 2: Convert to fraction form
    3,964.80/5,471.76 = 2,196.96/x
  3. Step 3: Cross multiply
    3,964.80x = 5,471.76 × 2,196.96
  4. Step 4: Simplify right side
    3,964.80x = 12,021,237.85
  5. Step 5: Solve for x
    x = 12,021,237.85/3,964.80
  6. Step 6: Final answer
    x = 3,031.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.